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Finding the Third Proportional to 617,877,469 and 932,562,134

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Solution

The third proportional to 617,877,469 and 932,562,134 is: 1,407,515,530.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,877,469 : 932,562,134 = 932,562,134 : x
  2. Step 2: Convert to fraction form
    617,877,469/932,562,134 = 932,562,134/x
  3. Step 3: Cross multiply
    617,877,469x = 932,562,134 × 932,562,134
  4. Step 4: Simplify right side
    617,877,469x = 869,672,133,770,633,984
  5. Step 5: Solve for x
    x = 869,672,133,770,633,984/617,877,469
  6. Step 6: Final answer
    x = 1,407,515,530.84

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.